Branes at Quantum Criticality

TL;DR

This paper introduces a new non-relativistic p+1 dimensional theory where the potential term follows detailed balance, linking the vacuum wave functional to p-brane theory's partition function, offering a novel approach to quantum criticality.

Contribution

It proposes a non-relativistic p+1 dimensional theory with a potential term obeying detailed balance, connecting vacuum states to p-brane partition functions.

Findings

The potential term satisfies detailed balance.

Vacuum wave functional norm equals p-brane partition function.

Provides a new framework for quantum criticality in brane theories.

Abstract

In this paper we propose new non-relativistic p+1 dimensional theory. This theory is defined in such a way that the potential term obeys the principle of detailed balance where the generating action corresponds to p-brane action. This condition ensures that the norm of the vacuum wave functional of p+1 dimensional theory is equal to the partition function of p-brane theory.